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Test Index
Mixtures and Allegations Practice Test 1
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© examsnet.com
Question : 11
Total: 40
A 10 litre cylinder contains a mixture of water and sugar, the volume of sugar being 15% of the total volume. A few litres of the mixture is released and an equal amount of water is added. Then the same amount of the mixture as before is released and is replaced with water for the second time. As a result, the sugar content becomes 10% of the total volume. What is the approximate quantity of mixture released each time?
1 litre
1.2 litres
1.5 litres
2 litres
Validate
Solution:
👈: Video Solution
The amount of sugar in the cylinder = 1.5 litres
Amount of sugar left after a litre has been replaced twice is
=
1.5
[
1
−
(
a
10
)
]
2
Now after replacement, 10% of the sugar left in the total solution.
i.e., 10% of 10 litres = 1 litre
∴
1
=
1.5
[
1
−
(
a
10
)
]
2
0.66
=
[
1
−
(
a
10
)
]
2
0.8
=
1
−
(
a
10
)
a
10
=
0.2
a = 2 litres
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